Bremiher — Errors Affecting Logarithmic Co7npiitations. 465 



(1), (2), etc., in place of a, Bj this substitution we shall 

 have 



2r 



V 



2{a^) =— tan 3.^0/2,52 cc3^//-f 2,3G smV + 2^3J 



ft C 



and, after \vriting for r^ m, and p the values 



t-o 



we have 



?yF^c) = 0,13195 tan^ei/2.5^cod-*/^+2,36sin*/i-h2,36 



expressed in seconds. 



When jj. comes out > -^5^, another form is more convenient.* 



QYClC = 





SO that we have this condition : 



wF{0) = 0,13405 tar4ci/3;20co3V+l,e8sinV+2 36 



Prom these formulas, the first for values of m <4:5*^, the last for 

 /* >45°, these values of icF arise : 



♦Those who are accustomed to computation use the following rule for computing 

 C* =z A^-\-B^ hy the aid of the auxiliary angle jn. First, log ^ — log ^ is taken, U 



